1020032400 has 60 divisors (see below), whose sum is σ = 3267507632. Its totient is φ = 272008320.

The previous prime is 1020032383. The next prime is 1020032407. The reversal of 1020032400 is 42300201.

1020032400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1020032407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423814 + ... + 426213.

Almost surely, 2^1020032400 is an apocalyptic number.

1020032400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020032400 is an abundant number, since it is smaller than the sum of its proper divisors (2247475232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020032400 is a wasteful number, since it uses less digits than its factorization.

1020032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850048 (or 850037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1020032400 is about 31937.9460829904. The cubic root of 1020032400 is about 1006.6333678054.

Adding to 1020032400 its reverse (42300201), we get a palindrome (1062332601).

The spelling of 1020032400 in words is "one billion, twenty million, thirty-two thousand, four hundred".